A New Class of Conformal Field Theories with Anomalous Dimensions

The Wilsonian renormalization group (WRG) equation is used to derive a new class of scale invariant field theories with nonvanishing anomalous dimensions in 2-dimensional ${\cal N}=2$ supersymmetric nonlinear sigma models. When the coordinates of the target manifolds have nontrivial anomalous dimensions, vanishing of the $\beta$ function suggest the existence of novel conformal field theories whose target space is not Ricci flat. We construct such conformal field theories with ${\bf U}(N)$ symmetry. The theory has one free parameter a corresponding to the anomalous dimension of the scalar fields. The new conformal field theories are well behaved for positive a and have the central charge 3N, while they have curvature singularities at the boundary for a<0. When the target space is of complex 1-dimension, we obtain the explicit form of the Lagrangian, which reduces to two different kinds of free field theories in weak and in strong coupling limit. As a consistency test, the anomalous dimensions are reproduced in these two limits. The target space in this case looks like a semi-infinite cigar with one-dimension compactified to a circle.Comment: 14 pages, 3 figures; comments and references adde

Three dimensional conformal sigma models

We construct novel conformal sigma models in three dimensions. Nonlinear sigma models in three dimensions are nonrenormalizable in perturbation theory. We use Wilsonian renormalization group equation method to find the fixed points. Existence of fixed points is extremely important in this approach to show the renormalizability. Conformal sigma models are defined as the fixed point theories of the Wilsonian renormalization group equation. The Wilsonian renormalization group equation with anomalous dimension coincides with the modified Ricci flow equation. The conformal sigma models are characterized by one parameter which corresponds to the anomalous dimension of the scalar fields. Any Einstein-K\"{a}hler manifold corresponds to a conformal field theory when the anomalous dimension is $\gamma=-1/2$. Furthermore, we investigate the properties of target spaces in detail for two dimensional case, and find the target space of the fixed point theory becomes compact or noncompact depending on the value of the anomalous dimension.Comment: 20page, 6figure

Self-Turn-on-Free 5V Gate Driving for 1200V Scaled IGBT

Negative biasing of the gate voltage in a scaled insulated gate bipolar transistor (IGBT) during the off-state was modeled and found to be effective against self-turn-on failures. The required self-turn-on-free criteria were verified experimentally.31st IEEE International Symposium on Power Semiconductor Devices and ICs (ISPSD 2019), 19-23 May 2019, Shanghai, Chin

ダイガクセイ ノ スポーツ カツドウ ニ カンスル カチイシキ ノ ケントウ : ナツヤスミ ノ スポーツ カツドウ トノ カンレン カラ

本研究は、第一に大学生がスポーツ活動に関してどの程度の価値意識を有しているものなのかを明らかにすることである。そして第二に大学生が価値を有しているであろうと思われるスポーツ活動について生活行動が最も多様になる時期、言い換えれば自由な時間が最も取れる夏休みにどの程度スポーツ活動を行っているのかその実態を明らかにすることを試みた。また、大学体育におけるスポーツの生活化指導のための基礎的な資料を得ることも目的の一つである。結果、大学生はスポーツの持っている価値は認識していたが、夏休み中にスポーツ活動を行った大学生は、半数以下であった。夏休みは多くの自由時間があるものの、運動やスポーツをするといった体を動かすことをするよりも、大学生は、「何もしない」とか「テレビやビデオ視聴」で過ごすということに時間を使っていた。このような大学生の時間の使い方についてもう少し詳細に調べてみなければはっきりとしたことは言えないが、深夜までテレビやビデオ(DVD)の視聴をしていて、日中は休んでいるという生活リズムになってしまっているのではと推察する。大学生は、自由な時間がある、なしにかかわらず、スポーツは価値のある行為だとはわかっていてもスポーツをすること自体に意識が向いていないから以上のような結果になると考えられる。It is necessary to acquire a manner, the ability that can manage the time when a university student is free by oneself premeditatedly. I think that the ability becomes the base of sports throughout the life.This study examined value awareness about the sports activity of the university studentand how to spend free time of the summer vacation of the university student and the connection of the exercise custom.1. The university student recognizes the value that sports have.2. The university students who worked on sports during summer vacation were lessthan half. 3. Spend it by "TV and the video seeing and hearing" that the university student "does not do as for what than much free time moves exercise and a body to play sports in the summer vacation either"; do it.4. The university student who did not work on sports tended not to work part-time.5. When sports are valuable acts, it is understood, but it is thought that the consciousness of the university student is not suitable for playing sports.6. The teacher must provide a lecture letting you acquire a manner, the ability that canmanage the sports activity in a class by oneself premeditatedly using the time when auniversity student is free